Netflix 8:45 PM Sat Oct 28 . . . 80% Written Assignment 8 Maxima/Minima and Mean Value Theorem

< Netflix 8:45 PM Sat Oct 28 oooort Written Assignment 8 Maxima/Minima and Mean Value Theorem 1. 2. Find the location of the absolute extreme values of f (x) = cos (x) on the interval Draw the graph of the function to help determine the values. You do need to find them analytically. (Hint: We did something like this in the notes.) Explain why or why not: Determine whether the following statements are true and give an explanation. If they are not true, then you need to give a counterexample (an example that shows the statement is false) or explain why the statement is false. a. b. c. d. The continuous function f (x) lx satisfies the conditions of the Mean Value Theorem on the interval [-1, 1]. The continuous function f (x) lx satisfies the conditions of the Mean Value Theorem on the interval [1, 3]. Two differentiable functions that have the same derivative vary by a constant. If f '(x) = 2x , then f (x) is 2x?) X . (Hint: Are there any other functions whose derivative